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Suppose the prices of 0.31 percent of stocks fell today compared to their beginning prices. Assume each stock behaves independently. You randomly check one stock

  1. Suppose the prices of 0.31 percent of stocks fell today compared to their beginning prices. Assume each stock behaves independently. You randomly check one stock at a time until you find one that had a price drop. What is the probability that you have to examine more than 6 stocks before finding one with a price drop?
  2. Suppose that a veteran software engineer makes an average of 4.08 coding errors per 10000 code lines. What is the probability that a random selection of 2500 code lines has no errors in it?
  3. Suppose that a veteran software engineer makes an average of 6.8 coding errors per 10000 code lines. What is the probability that a random selection of 2500 code lines has at most 3 typos in it?

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